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2/x+4=7/x-1
We move all terms to the left:
2/x+4-(7/x-1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x-1)!=0We get rid of parentheses
x∈R
2/x-7/x+1+4=0
We multiply all the terms by the denominator
1*x+4*x+2-7=0
We add all the numbers together, and all the variables
5x-5=0
We move all terms containing x to the left, all other terms to the right
5x=5
x=5/5
x=1
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